Evaluate: 2 × {17 - 2 × (10 - 5)}
14
To evaluate the expression 2 × {17 - 2 × (10 - 5)}, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Here's the step-by-step process:
- Simplify expressions inside the parentheses first:
- The innermost parentheses is (10 - 5). Calculate: 10 - 5 = 5.
- Substitute the result back into the expression: 2 × {17 - 2 × 5}.
- Next, perform the multiplication:
- Calculate 2 × 5 = 10.
- Update the expression: 2 × {17 - 10}.
- Now perform the subtraction:
- Calculate 17 - 10 = 7.
- Update the expression with the new result: 2 × 7.
- Finally, perform the multiplication:
- Calculate 2 × 7 = 14.
The evaluated result of the given expression is 14.
Important Questions from Simplification
The value of {5 - 5 ÷ (10 - 12) × 8 + 9} × 3 + 5 + 5 × 5 ÷ 5 of 5 is:
What should come in place of the question mark (?) in the following question?
[((16 ÷ 4) × 4) ÷ 4] = ?
Simplify the following expression.
\(\frac{{6\frac{1}{2} + 2\frac{5}{7} \times \frac{{14}}{{19}} - \frac{1}{2} \div 2\ of\frac{1}{4}}}{{11 \times 12 \div 12 + 12}}\)
The value of \(\left( {\frac{7}{5} \div \frac{7}{{10}}of\frac{3}{4}} \right) \div \frac{4}{9} + \left( {\frac{7}{{16}} \div 10\frac{1}{2} \times 7\frac{1}{5}} \right) \times \frac{5}{{12}} \) is:
The value of \(\left( {{1 \over 2}} \right)\) [{–2(12 + 2)}10] is:
